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Classification of exact solutions for some nonlinear partial differential equations with generalized evolution. (English) Zbl 1247.35124
Summary: We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa-Holm-KP equation and KdV equation by the complete discrimination system for polynomial method. In discussion, we propose a more general trial equation method for nonlinear partial differential equations with generalized evolution.

MSC:
35Q51Soliton-like equations
35Q53KdV-like (Korteweg-de Vries) equations
35C08Soliton solutions of PDE
35C11Polynomial solutions of PDE
Software:
MACSYMA
WorldCat.org
Full Text: DOI
References:
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